Part of how you do this depends on scale and what apparatus you are using. If you have mgs to a gram, you could do the entire reaction in small RBF using a ballon of H2 as the source of H2. If you are doing more than that, you might want to use a Parr type shaker or other similar apparatus. I would always have someone help me the first time on any system.
I also recommend EtOH rather than MeOH, it does not catch fire as easily (seen a few myself) and is safer in several ways. You can always add EtOAc as well for many cases. Most people use 10% Pd/Carbon, safer than 20%, and use the wet stuff.
Lastly, I do use Celite sometimes, but for SMALL scales, once you have purged the reaction well with N2, I like to suck the reaction up into a plastic syringe (trying to leave most of the catalyst) and then filter through a small 0.45 micron syringe filter (Like a Gelman PTFE or similar one), which removes ALL of the carbon. Then I add another shot of EtOH to the reaction with a clean syringe and then suck it up in to the used syringe and wash the syring and filter with that. For small scales, I find that I lose less material than on Celite, and the material is not exposed much to air, if I do it properly, which is ideal for my substrate.